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Sagot :
9514 1404 393
Answer:
1155 km
Step-by-step explanation:
The arc length of the moon's diameter is ...
s = rθ . . . . . where r is the distance to the moon, θ is the subtended arc in radians, and s is the moon's diameter.
There are 180° in π radians, and there are 60' in 1°. That means there are π/10800 radians in each minute of arc.
s = (60·6300 km)(21/10800π) = 2309 km
The radius of the moon is estimated to be half this diameter, or ...
moon radius ≈ 1155 km
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Additional comment
We have calculated the radius of the moon based on the numbers given in this problem. The angle subtended by the moon is actually about 31', not 21'.
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